PreprintCC BY 4.0arXiv
Lack of Gevrey solvability for a model operator
Abstract
We prove that the Cauchy problem for the model hyperbolic operator in $ \R^{4} $ Q=−Dt2+2xDtDy+Dx2+x3Dy2+Dz2+z2Dy2 is not locally solvable at the origin, in the Gevrey s class if s>6.
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BibTeX
@misc{bernardi2026lack,
title = {{Lack of Gevrey solvability for a model operator}},
author = {Enrico Bernardi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.27054},
eprint = {2605.27054},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.27054},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Lack of Gevrey solvability for a model operator
AU - Enrico Bernardi
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2605.27054
UR - https://arxiv.org/abs/2605.27054
AB - We prove that the Cauchy problem for the model hyperbolic operator in $ \R^{4} $ Q=−D_t^2+2xD_tD_y+D_x^2+x^3D_y^2+D_z^2+z^2D_y^2 is not locally solvable at the origin, in the Gevrey s class if s>6.
ER -